Start by recalling the definitions of asymptotic notations (Big-O, Big-Ω, Big-Θ) and how they relate to function growth rates.

Compare the growth rates of logarithmic functions (e.g., log n, log² n) with polynomial functions (e.g., n, n²) by evaluating their limits as n approaches infinity.

Analyze the growth of exponential functions (e.g., 2ⁿ, 3ⁿ) versus polynomial functions by considering their derivatives or by taking the logarithm of both sides to simplify the comparison.